This brief considers quantized control for finite-Time synthesis of nonlinear semi-Markov switching systems (S-MSSs) via T-S fuzzy strategy. The stochastic phenomena of structural and parametric changes are modeled by the semi-Markov process, in which the sojourn-Time (ST) is deemed to obey a non-exponential distribution. Compared with previous works, the input quantization is firstly investigated for studying the finite-Time control via a logarithmic quantizer. A key issue under the consideration is how to design a fuzzy-model-based finite-Time control law in the presence of quantized error. For this purpose, by using the key point of Lyapunov function, the finite-Time boundedness (FTBs) performance is analyzed via establishing sojourn-Time-dependent sufficient conditions within a given finite-Time level. Then, the existence of a quantized controller is given in standard LMIs. Finally, an example for an electric circuit shows the effectiveness of the finite-Time control scheme.
|Number of pages||5|
|Journal||IEEE Transactions on Circuits and Systems II: Express Briefs|
|Publication status||Published - 2020 Nov|
- Finite-Time boundedness
- Lyapunov function
ASJC Scopus subject areas
- Electrical and Electronic Engineering